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Popular >

f(x)=5x^2+2x-13

Solution

f (x) = 5 x^{2} + 2 x - 13

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{66}{5}

X Intercepts : (\frac{- 1 + 66}{5}, 0), (- \frac{1 + 66}{5}, 0), Y Intercepts : (0, - 13)

Vertex : Minimum (- \frac{1}{5}, - \frac{66}{5})

Inverse : \frac{- 1 + 5 x + 66}{5}, - \frac{5 x + 66 + 1}{5}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{66}{5}, \infty)

Solution steps

Domain of

5 x^{2} + 2 x - 13 : - \infty < x < \infty

Range of

5 x^{2} + 2 x - 13 : f (x) \geq - \frac{66}{5}

Axis interception points of

5 x^{2} + 2 x - 13 :

X Intercepts

: (\frac{- 1 + 66}{5}, 0), (- \frac{1 + 66}{5}, 0),

Y Intercepts

: (0, - 13)

Vertex of

5 x^{2} + 2 x - 13 :

Minimum

(- \frac{1}{5}, - \frac{66}{5})

Inverse of

5 x^{2} + 2 x - 13 : \frac{- 1 + 5 x + 66}{5}, - \frac{5 x + 66 + 1}{5}

Popular Examples

f(x)=x^3-x^2-2x+4

f (x) = x^{3} - x^{2} - 2 x + 4

f(x)=(1/2)^{x-1}+1

f (x) = (\frac{1}{2})^{x - 1} + 1

f(x)= 1/(x^3+2x^2-x-2)

f (x) = \frac{1}{x ^{3} + 2 x ^{2} - x - 2}

36y^2=(x^2-4)^3,4<= x<= 6

36 y^{2} = (x^{2} - 4)^{3}, 4 \leq x \leq 6

f(x)=(x+2)^5(x-3)^4

f (x) = (x + 2)^{5} (x - 3)^{4}

Frequently Asked Questions (FAQ)

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